Open Access
March 2013 A convergence theorem for the Birkhoff integral
Marek Balcerzak, Kazimierz Musiał
Funct. Approx. Comment. Math. 50(1): 161-168 (March 2013). DOI: 10.7169/facm/2014.50.1.5

Abstract

We propose an essential improvement of a convergence theorem for the Birkhoff integral. We also obtain the respective version of this result for the convergence associated with an ideal on $\mathbb N$.

Citation

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Marek Balcerzak. Kazimierz Musiał. "A convergence theorem for the Birkhoff integral." Funct. Approx. Comment. Math. 50 (1) 161 - 168, March 2013. https://doi.org/10.7169/facm/2014.50.1.5

Information

Published: March 2013
First available in Project Euclid: 27 March 2014

zbMATH: 1292.28006
MathSciNet: MR3189505
Digital Object Identifier: 10.7169/facm/2014.50.1.5

Subjects:
Primary: 11K06
Secondary: 11K38 , 11K41

Keywords: Birkhoff integral , convergence theorems for integrals , Pettis integral

Rights: Copyright © 2014 Adam Mickiewicz University

Vol.50 • No. 1 • March 2013
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